Search a number
-
+
116001344652 = 223234775711813
BaseRepresentation
bin110110000001000111…
…0000000110010001100
3102002102022222212120020
41230002032000302030
53400032321012102
6125142411222140
711244423106044
oct1540216006214
9362368885506
10116001344652
114521780a186
121a594747950
13ac28946a0b
145886262724
15303dde8bbc
hex1b02380c8c

116001344652 has 96 divisors (see below), whose sum is σ = 288852867072. Its totient is φ = 36148121856.

The previous prime is 116001344621. The next prime is 116001344659. The reversal of 116001344652 is 256443100611.

It is a super-2 number, since 2×1160013446522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116001344659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9813898 + ... + 9825710.

It is an arithmetic number, because the mean of its divisors is an integer number (3008884032).

Almost surely, 2116001344652 is an apocalyptic number.

116001344652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116001344652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144426433536).

116001344652 is an abundant number, since it is smaller than the sum of its proper divisors (172851522420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116001344652 is a wasteful number, since it uses less digits than its factorization.

116001344652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12647 (or 12645 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 116001344652 in words is "one hundred sixteen billion, one million, three hundred forty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 564 757 1081 1514 2162 2271 3028 3243 4324 4542 6486 9084 11813 12972 17411 23626 34822 35439 35579 47252 52233 69644 70878 71158 104466 106737 141756 142316 208932 213474 271699 426948 543398 555211 815097 818317 1086796 1110422 1630194 1636634 1665633 2220844 2454951 3260388 3273268 3331266 4909902 6662532 8942441 9819804 12769853 17884882 25539706 26827323 35769764 38309559 51079412 53654646 76619118 107309292 153238236 205676143 411352286 420294727 617028429 822704572 840589454 1234056858 1260884181 1681178908 2468113716 2521768362 5043536724 9666778721 19333557442 29000336163 38667114884 58000672326 116001344652